Daily Practice

Higher Plus

12th December 1990

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/13. Work out n.
2
Histograms3 marks
On a histogram the bar for 30 < x <= 40 has a frequency density of 2.4. How many values are in that class?
3
Bounds3 marks
A rectangle is 5 cm by 27 cm, each correct to the nearest cm. Work out the upper bound of its area.
4
Completing the Square3 marks
Write x^2 - 4x - 4 in the form (x + a)^2 + b.
5
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 81. Work out y when x = 5.

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